%I
%S 1,5,20,78,297,1130,4225,15472,54143,178274,508805,1062164,1195536,
%T 557174,51373,103
%N Number of positions that are exactly n moves from the starting position in the Hockey Puck puzzle.
%C This is the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves.
%C A puzzle in the Rubik cube family. The total number of distinct positions is 10! = 3628800. Here we only use moves of types ae.
%H Jaap Scherphuis, <a href="http://www.jaapsch.net/puzzles/">Puzzle Pages</a>
%Y Cf. A079735A079738.
%K nonn,fini,full
%O 0,2
%A _N. J. A. Sloane_, Feb 20 2003
